Šiaulys, Jonas; Stepanauskas, Gediminas Some limit laws for strongly additive prime indicators. (English) Zbl 1163.11058 Šiauliai Math. Semin. 3(11), 235-246 (2008). The authors consider convergence to some weak limit law for distributions \[ \nu_x(f_x(n)< u)={1\over [x]} \sum_{\substack{ n\leq x\\ f_x(n)< u}} 1, \] where the \(f_x\) are strongly additive functions, \(x\geq 2\), and \(f_x(p)\) is \(0\) or \(1\) for every prime \(p\). As limit laws there are investigated the Poisson, Bernoulli, binomial, geometrical distributions and some mixtures of them. Reviewer: Jürgen Spilker (Freiburg i. Br.) Cited in 3 Documents MSC: 11K65 Arithmetic functions in probabilistic number theory Keywords:additive functions; distribution of weak convergence PDFBibTeX XMLCite \textit{J. Šiaulys} and \textit{G. Stepanauskas}, Šiauliai Math. Semin. 3(11), 235--246 (2008; Zbl 1163.11058)